{"cells":[{"cell_type":"code","execution_count":1,"metadata":{},"outputs":[],"source":["\"\"\"\n","@author: Michael\n","@version: 2021-11-25\n","\"\"\"\n","import os\n","import datetime\n","import numpy as np\n","import pandas as pd\n","from matplotlib import pyplot as plt\n","import torch\n","from torch import nn"]},{"cell_type":"code","execution_count":2,"metadata":{},"outputs":[],"source":["\n","# 打印时间\n","def printbar():\n","    nowtime = datetime.datetime.now().strftime('%Y-%m-%d %H:%M:%S')\n","    print(\"\\n\" + \"==========\" * 1 + \"%s\" % nowtime)\n","\n","\n","# mac系统上pytorch和matplotlib在jupyter中同时跑需要更改环境变量\n","os.environ[\"KMP_DUPLICATE_LIB_OK\"] = \"TRUE\"\n","\n"]},{"cell_type":"code","execution_count":3,"metadata":{},"outputs":[],"source":["#样本数量\n","n = 400\n","\n","# 生成测试用数据集\n","X = 10 * torch.rand([n, 2]) - 5.0  #torch.rand是均匀分布\n","w0 = torch.tensor([[2.0], [-3.0]])\n","b0 = torch.tensor([[10.0]])\n","Y = X @ w0 + b0 + torch.normal(0, 0.01, size=[n, 1])  # @表示矩阵乘法,增加正态扰动\n"]},{"cell_type":"code","execution_count":4,"metadata":{},"outputs":[{"data":{"text/plain":["(tensor([[ 4.0495,  1.3501],\n","         [-0.6617, -2.6846],\n","         [ 4.1748,  2.6931],\n","         [ 0.6751,  2.4211],\n","         [-1.5141,  1.7045],\n","         [-2.6857,  1.2214],\n","         [ 4.9621, -1.8865],\n","         [ 3.0051, -2.1414],\n","         [-1.9247,  2.6898],\n","         [ 2.9859,  3.3807]]),\n"," tensor([[14.0459],\n","         [16.7268],\n","         [10.2624],\n","         [ 4.0682],\n","         [ 1.8582],\n","         [ 0.9745],\n","         [25.5961],\n","         [22.4370],\n","         [-1.9092],\n","         [ 5.8278]]))"]},"execution_count":4,"metadata":{},"output_type":"execute_result"}],"source":["X[:10], Y[:10]"]},{"cell_type":"code","execution_count":5,"metadata":{},"outputs":[{"data":{"text/plain":["<Figure size 432x288 with 0 Axes>"]},"metadata":{},"output_type":"display_data"},{"data":{"image/svg+xml":"<?xml version=\"1.0\" 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Axes>"]},"metadata":{"needs_background":"light"},"output_type":"display_data"}],"source":["%config InlineBackend.figure_format = 'svg'\n","plt.clf()\n","plt.figure(figsize=(12, 5))\n","ax1 = plt.subplot(121)\n","ax1.scatter(X[:, 0].numpy(), Y[:, 0].numpy(), c=\"b\", label=\"samples\")\n","ax1.legend()\n","plt.xlabel(\"x1\")\n","plt.ylabel(\"y\", rotation=0)\n","\n","ax2 = plt.subplot(122)\n","ax2.scatter(X[:, 1].numpy(), Y[:, 0].numpy(), c=\"g\", label=\"samples\")\n","ax2.legend()\n","plt.xlabel(\"x2\")\n","plt.ylabel(\"y\", rotation=0)\n","plt.show()\n"]},{"cell_type":"code","execution_count":6,"metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":["tensor([[ 2.0566,  4.0795],\n","        [-4.3228, -4.9876],\n","        [ 2.3335,  4.4158],\n","        [-1.3694,  4.8344],\n","        [ 4.6599, -2.5036],\n","        [ 1.0042,  1.2337],\n","        [-2.5764,  2.1725],\n","        [ 0.2435, -2.8418]])\n","tensor([[ 1.8889],\n","        [16.3066],\n","        [ 1.4296],\n","        [-7.2534],\n","        [26.8366],\n","        [ 8.2924],\n","        [-1.6817],\n","        [19.0265]])\n"]}],"source":["# 构建数据管道迭代器\n","def data_iter(features, labels, batch_size=8):\n","    num_examples = len(features)\n","    indices = list(range(num_examples))\n","    np.random.shuffle(indices)  #样本的读取顺序是随机的\n","    for i in range(0, num_examples, batch_size):\n","        indexs = torch.LongTensor(indices[i: min(i + batch_size, num_examples)])\n","        yield features.index_select(0, indexs), labels.index_select(0, indexs)\n","\n","\n","# 测试数据管道效果   \n","batch_size = 8\n","(features, labels) = next(data_iter(X, Y, batch_size))\n","print(features)\n","print(labels)\n"]},{"cell_type":"code","execution_count":7,"metadata":{},"outputs":[],"source":["# 定义模型\n","class LinearRegression: \n","    \n","    def __init__(self):\n","        self.w = torch.randn_like(w0,requires_grad=True)\n","        self.b = torch.zeros_like(b0,requires_grad=True)\n","        \n","    #正向传播\n","    def forward(self,x): \n","        return x@self.w + self.b\n","\n","    # 损失函数\n","    def loss_func(self,y_pred,y_true):  \n","        return torch.mean((y_pred - y_true)**2/2)\n","    \n","    def parameters(self):\n","        return [self.w, self.b]\n","\n","def sgd(params, lr=0.01):\n","    # 使用torch.no_grad()避免梯度记录，也可以通过操作 model.w.data 实现避免梯度记录 \n","    with torch.no_grad():\n","        # 梯度下降法更新参数\n","        for param in params:\n","            param -= lr * param.grad\n","            # 梯度清零\n","            param.grad.zero_()\n","\n","model = LinearRegression()\n","\n"]},{"cell_type":"code","execution_count":8,"metadata":{},"outputs":[],"source":["def train_step(model, features, labels):\n","    \n","    predictions = model.forward(features)\n","    loss = model.loss_func(predictions,labels)\n","        \n","    # 反向传播求梯度\n","    loss.backward()\n","    \n","    # 使用torch.no_grad()避免梯度记录，也可以通过操作 model.w.data 实现避免梯度记录 \n","    # with torch.no_grad():\n","    #     # 梯度下降法更新参数\n","    #     model.w -= 0.001*model.w.grad\n","    #     model.b -= 0.001*model.b.grad\n","\n","    #     # 梯度清零\n","    #     model.w.grad.zero_()\n","    #     model.b.grad.zero_()\n","    sgd(model.parameters(), lr=0.01)\n","    return loss\n"," \n"]},{"cell_type":"code","execution_count":9,"metadata":{},"outputs":[{"data":{"text/plain":["tensor(84.2937, grad_fn=<MeanBackward0>)"]},"execution_count":9,"metadata":{},"output_type":"execute_result"}],"source":["# 测试train_step效果\n","batch_size = 10\n","(features,labels) = next(data_iter(X,Y,batch_size))\n","train_step(model,features,labels)\n","\n"]},{"cell_type":"code","execution_count":10,"metadata":{},"outputs":[{"name":"stdout","output_type":"stream","text":["\n","==========2022-03-13 18:56:10\n","epoch = 200 loss =  5.069177859695628e-05\n","model.w = tensor([[ 2.0002],\n","        [-3.0000]])\n","model.b = tensor([[10.0002]])\n","\n","==========2022-03-13 18:56:13\n","epoch = 400 loss =  3.92283036489971e-05\n","model.w = tensor([[ 2.0000],\n","        [-2.9997]])\n","model.b = tensor([[10.0002]])\n","\n","==========2022-03-13 18:56:15\n","epoch = 600 loss =  7.386881770798936e-05\n","model.w = tensor([[ 2.0001],\n","        [-2.9998]])\n","model.b = tensor([[10.0002]])\n","\n","==========2022-03-13 18:56:18\n","epoch = 800 loss =  5.677638546330854e-05\n","model.w = tensor([[ 2.0002],\n","        [-2.9995]])\n","model.b = tensor([[10.0003]])\n","\n","==========2022-03-13 18:56:21\n","epoch = 1000 loss =  7.118915527826175e-05\n","model.w = tensor([[ 2.0002],\n","        [-2.9997]])\n","model.b = tensor([[10.0002]])\n"]}],"source":["def train_model(model, epochs):\n","    for epoch in range(1, epochs+1):\n","        for features, labels in data_iter(X, Y, 10):\n","            loss = train_step(model, features, labels)\n","\n","        if epoch % 200 == 0:\n","            printbar()\n","            print(\"epoch =\", epoch, \"loss = \", loss.item())\n","            print(\"model.w =\", model.w.data)\n","            print(\"model.b =\", model.b.data)\n","\n","\n","train_model(model, epochs=1000)\n"]},{"cell_type":"code","execution_count":11,"metadata":{},"outputs":[{"data":{"image/svg+xml":"<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\r\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\r\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\r\n<!-- Created with matplotlib (https://matplotlib.org/) -->\r\n<svg height=\"316.55625pt\" version=\"1.1\" viewBox=\"0 0 719.064062 316.55625\" width=\"719.064062pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\r\n <metadata>\r\n  <rdf:RDF xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\r\n   <cc:Work>\r\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\r\n    <dc:date>2022-03-13T18:56:22.102692</dc:date>\r\n    <dc:format>image/svg+xml</dc:format>\r\n 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\"samples\")\n","ax1.plot(X[:,0].numpy(),(model.w[0].data*X[:,0]+model.b[0].data).numpy(),\"-r\",linewidth = 5.0,label = \"model\")\n","ax1.legend()\n","plt.xlabel(\"x1\")\n","plt.ylabel(\"y\",rotation = 0)\n","\n","\n","ax2 = plt.subplot(122)\n","ax2.scatter(X[:,1].numpy(),Y[:,0].numpy(), c = \"g\",label = \"samples\")\n","ax2.plot(X[:,1].numpy(),(model.w[1].data*X[:,1]+model.b[0].data).numpy(),\"-r\",linewidth = 5.0,label = \"model\")\n","ax2.legend()\n","plt.xlabel(\"x2\")\n","plt.ylabel(\"y\",rotation = 0)\n","\n","plt.show()\n"]},{"cell_type":"code","execution_count":null,"metadata":{},"outputs":[],"source":["\n","\n","\n"]}],"metadata":{"interpreter":{"hash":"91479e0ac678ca657dc43e76085b9546b76f7aea8f2d6a14d266a829f6036d13"},"kernelspec":{"display_name":"Python 3.8.12 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